27775680 has 56 divisors (see below), whose sum is σ = 88190832. Its totient is φ = 7406592.

The previous prime is 27775633. The next prime is 27775687. The reversal of 27775680 is 8657772.

It is not an unprimeable number, because it can be changed into a prime (27775687) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13507 + ... + 15426.

Almost surely, 2^27775680 is an apocalyptic number.

27775680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27775680 is an abundant number, since it is smaller than the sum of its proper divisors (60415152).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

27775680 is a wasteful number, since it uses less digits than its factorization.

27775680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28953 (or 28943 counting only the distinct ones).

The product of its (nonzero) digits is 164640, while the sum is 42.

The square root of 27775680 is about 5270.2637505157. The cubic root of 27775680 is about 302.8458081164.

It can be divided in two parts, 277 and 75680, that added together give a palindrome (75957).

The spelling of 27775680 in words is "twenty-seven million, seven hundred seventy-five thousand, six hundred eighty".